Thomas L. Curtright, Cosmas K. Zachos
Published 2002-11-13, updated 2003-01-08Version 2
Phase space is a framework ideally suited for quantizing superintegrable systems through the use of deformation methods, as illustrated here by applications to de Sitter and chiral particles. Within this framework, Nambu brackets elegantly incorporate the additional quantum invariants of such models. New results are presented for the non-Abelian quantization of these brackets.
Comments: Talk by the first author at the Workshop on Superintegrability in Classical and Quantum Systems, Centre de recherches mathematiques, Universite de Montreal, 16-21 September 2002. Minor changes to conform to the version in the proceedings
Lectures on Symplectic Geometry, Poisson Geometry, Deformation Quantization and Quantum Field Theory
Deformation quantization with separation of variables of $G_{2,4}\left(\mathbb{C}\right)$
Supersymmetric Quantum Mechanics on a noncommutative plane through the lens of deformation quantization
